3626750400 has 1008 divisors, whose sum is σ = 16127967744. Its totient is φ = 693411840.

The previous prime is 3626750317. The next prime is 3626750417. The reversal of 3626750400 is 40576263.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157684789 + ... + 157684811.

It is an arithmetic number, because the mean of its divisors is an integer number (15999968).

Almost surely, 2^3626750400 is an apocalyptic number.

3626750400 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 3626750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063983872).

3626750400 is an abundant number, since it is smaller than the sum of its proper divisors (12501217344).

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

3626750400 is a wasteful number, since it uses less digits than its factorization.

3626750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 3626750400 is about 60222.5074203989. The cubic root of 3626750400 is about 1536.4056274643.

The spelling of 3626750400 in words is "three billion, six hundred twenty-six million, seven hundred fifty thousand, four hundred".