3739055040 has 448 divisors, whose sum is σ = 15198059520. Its totient is φ = 847687680.

The previous prime is 3739055039. The next prime is 3739055041. The reversal of 3739055040 is 405509373.

3739055040 is a `hidden beast` number, since 37 + 39 + 0 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3739055039) and next prime (3739055041).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3739054986 and 3739055004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3739055041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12761134 + ... + 12761426.

It is an arithmetic number, because the mean of its divisors is an integer number (33924240).

Almost surely, 2^3739055040 is an apocalyptic number.

3739055040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3739055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599029760).

3739055040 is an abundant number, since it is smaller than the sum of its proper divisors (11459004480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3739055040 is a wasteful number, since it uses less digits than its factorization.

3739055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 3739055040 is about 61147.8130434769. The cubic root of 3739055040 is about 1552.1032896148.

The spelling of 3739055040 in words is "three billion, seven hundred thirty-nine million, fifty-five thousand, forty".