3682502400 has 432 divisors, whose sum is σ = 13139159040. Its totient is φ = 905625600.

The previous prime is 3682502399. The next prime is 3682502407. The reversal of 3682502400 is 42052863.

3682502400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682502407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13689466 + ... + 13689734.

It is an arithmetic number, because the mean of its divisors is an integer number (30414720).

Almost surely, 2^3682502400 is an apocalyptic number.

3682502400 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 3682502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569579520).

3682502400 is an abundant number, since it is smaller than the sum of its proper divisors (9456656640).

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

3682502400 is a wasteful number, since it uses less digits than its factorization.

3682502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3682502400 is about 60683.6254684903. The cubic root of 3682502400 is about 1544.2383946466.

The spelling of 3682502400 in words is "three billion, six hundred eighty-two million, five hundred two thousand, four hundred".