3625754496000 has 2816 divisors, whose sum is σ = 16114361303040. Its totient is φ = 702303436800.

The previous prime is 3625754495989. The next prime is 3625754496037. The reversal of 3625754496000 is 6944575263.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28549247937 + ... + 28549248063.

It is an arithmetic number, because the mean of its divisors is an integer number (5722429440).

Almost surely, 2^{3625754496000} is an apocalyptic number.

3625754496000 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 3625754496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057180651520).

3625754496000 is an abundant number, since it is smaller than the sum of its proper divisors (12488606807040).

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

3625754496000 is a wasteful number, since it uses less digits than its factorization.

3625754496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 3625754496000 in words is "three trillion, six hundred twenty-five billion, seven hundred fifty-four million, four hundred ninety-six thousand".