3875790240 has 720 divisors, whose sum is σ = 16516936800. Its totient is φ = 825043968.

The previous prime is 3875790227. The next prime is 3875790253. The reversal of 3875790240 is 420975783.

3875790240 is a `hidden beast` number, since 38 + 7 + 579 + 0 + 2 + 40 = 666.

3875790240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3875790227) and next prime (3875790253).

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 65691331 + ... + 65691389.

It is an arithmetic number, because the mean of its divisors is an integer number (22940190).

Almost surely, 2^3875790240 is an apocalyptic number.

3875790240 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 3875790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258468400).

3875790240 is an abundant number, since it is smaller than the sum of its proper divisors (12641146560).

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

3875790240 is a wasteful number, since it uses less digits than its factorization.

3875790240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3875790240 is about 62255.8450267925. The cubic root of 3875790240 is about 1570.7970907512.

The spelling of 3875790240 in words is "three billion, eight hundred seventy-five million, seven hundred ninety thousand, two hundred forty".