3755427840 has 576 divisors, whose sum is σ = 14482540800. Its totient is φ = 922484736.

The previous prime is 3755427839. The next prime is 3755427859. The reversal of 3755427840 is 487245573.

3755427840 is a `hidden beast` number, since 37 + 5 + 542 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3755427840² = 28206476522894131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79902697 + ... + 79902743.

It is an arithmetic number, because the mean of its divisors is an integer number (25143300).

Almost surely, 2^3755427840 is an apocalyptic number.

3755427840 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 3755427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241270400).

3755427840 is an abundant number, since it is smaller than the sum of its proper divisors (10727112960).

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

3755427840 is a wasteful number, since it uses less digits than its factorization.

3755427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 3755427840 is about 61281.5456724127. The cubic root of 3755427840 is about 1554.3654720977.

The spelling of 3755427840 in words is "three billion, seven hundred fifty-five million, four hundred twenty-seven thousand, eight hundred forty".