3629642400 has 216 divisors, whose sum is σ = 13273775424. Its totient is φ = 967852800.

The previous prime is 3629642399. The next prime is 3629642431. The reversal of 3629642400 is 42469263.

3629642400 is a `hidden beast` number, since 3 + 6 + 2 + 9 + 642 + 4 + 0 + 0 = 666.

3629642400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185065 + ... + 203735.

It is an arithmetic number, because the mean of its divisors is an integer number (61452664).

Almost surely, 2^3629642400 is an apocalyptic number.

3629642400 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 3629642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636887712).

3629642400 is an abundant number, since it is smaller than the sum of its proper divisors (9644133024).

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

3629642400 is a wasteful number, since it uses less digits than its factorization.

3629642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18706 (or 18681 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3629642400 is about 60246.5135920744. The cubic root of 3629642400 is about 1536.8138997072.

The spelling of 3629642400 in words is "three billion, six hundred twenty-nine million, six hundred forty-two thousand, four hundred".