3795002640 has 960 divisors, whose sum is σ = 16378951680. Its totient is φ = 774144000.

The previous prime is 3795002597. The next prime is 3795002707. The reversal of 3795002640 is 462005973.

3795002640 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 0 + 0 + 2 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 3795002595 and 3795002604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92561020 + ... + 92561060.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^3795002640 is an apocalyptic number.

3795002640 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 3795002640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

3795002640 is an abundant number, since it is smaller than the sum of its proper divisors (12583949040).

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

3795002640 is a wasteful number, since it uses less digits than its factorization.

3795002640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3795002640 is about 61603.5927523712. The cubic root of 3795002640 is about 1559.8063862277.

The spelling of 3795002640 in words is "three billion, seven hundred ninety-five million, two thousand, six hundred forty".