3652742400 has 648 divisors, whose sum is σ = 13905609984. Its totient is φ = 840499200.

The previous prime is 3652742389. The next prime is 3652742413. The reversal of 3652742400 is 42472563.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117830385 + ... + 117830415.

Almost surely, 2^3652742400 is an apocalyptic number.

3652742400 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 3652742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952804992).

3652742400 is an abundant number, since it is smaller than the sum of its proper divisors (10252867584).

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

3652742400 is a wasteful number, since it uses less digits than its factorization.

3652742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 3652742400 is about 60437.9218702960. The cubic root of 3652742400 is about 1540.0672371835.

The spelling of 3652742400 in words is "three billion, six hundred fifty-two million, seven hundred forty-two thousand, four hundred".