3795267625632 has 480 divisors, whose sum is σ = 12858089029632. Its totient is φ = 1075736941056.

The previous prime is 3795267625607. The next prime is 3795267625637. The reversal of 3795267625632 is 2365267625973.

It is a happy number.

3795267625632 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 2 + 6 + 7 + 62 + 563 + 2 = 666.

It is a super-3 number, since 3×3795267625632³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3795267625632.

It is not an unprimeable number, because it can be changed into a prime (3795267625637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2552297593 + ... + 2552299079.

Almost surely, 2^{3795267625632} is an apocalyptic number.

3795267625632 is a gapful number since it is divisible by the number (32) 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 3795267625632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429044514816).

3795267625632 is an abundant number, since it is smaller than the sum of its proper divisors (9062821404000).

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

3795267625632 is a wasteful number, since it uses less digits than its factorization.

3795267625632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2525 counting only the distinct ones).

The product of its digits is 171460800, while the sum is 63.

The spelling of 3795267625632 in words is "three trillion, seven hundred ninety-five billion, two hundred sixty-seven million, six hundred twenty-five thousand, six hundred thirty-two".