3739530240 has 440 divisors, whose sum is σ = 13696100352. Its totient is φ = 975421440.

The previous prime is 3739530229. The next prime is 3739530247. The reversal of 3739530240 is 420359373.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 3739530195 and 3739530204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3739530247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29445057 + ... + 29445183.

Almost surely, 2^3739530240 is an apocalyptic number.

3739530240 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 3739530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848050176).

3739530240 is an abundant number, since it is smaller than the sum of its proper divisors (9956570112).

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

3739530240 is a wasteful number, since it uses less digits than its factorization.

3739530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3739530240 is about 61151.6985863843. The cubic root of 3739530240 is about 1552.1690395821.

The spelling of 3739530240 in words is "three billion, seven hundred thirty-nine million, five hundred thirty thousand, two hundred forty".