3672635400 has 864 divisors, whose sum is σ = 16045848000. Its totient is φ = 734469120.

The previous prime is 3672635327. The next prime is 3672635411. The reversal of 3672635400 is 45362763.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 126642586 + ... + 126642614.

Almost surely, 2^3672635400 is an apocalyptic number.

3672635400 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 3672635400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022924000).

3672635400 is an abundant number, since it is smaller than the sum of its proper divisors (12373212600).

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

3672635400 is a wasteful number, since it uses less digits than its factorization.

3672635400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3672635400 is about 60602.2722346283. The cubic root of 3672635400 is about 1542.8579357727.

The spelling of 3672635400 in words is "three billion, six hundred seventy-two million, six hundred thirty-five thousand, four hundred".