3756813840 has 240 divisors, whose sum is σ = 13845332592. Its totient is φ = 907186176.

The previous prime is 3756813839. The next prime is 3756813857. The reversal of 3756813840 is 483186573.

3756813840 is a `hidden beast` number, since 3 + 7 + 568 + 1 + 3 + 84 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 175509504 + 3581304336 = 13248^2 + 59844^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3756813840² = 28227300456831091200, 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, 492294 + ... + 499866.

Almost surely, 2^3756813840 is an apocalyptic number.

3756813840 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 3756813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922666296).

3756813840 is an abundant number, since it is smaller than the sum of its proper divisors (10088518752).

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

3756813840 is a wasteful number, since it uses less digits than its factorization.

3756813840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7658 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3756813840 is about 61292.8530907152. The cubic root of 3756813840 is about 1554.5566696263.

The spelling of 3756813840 in words is "three billion, seven hundred fifty-six million, eight hundred thirteen thousand, eight hundred forty".