3806607600 has 90 divisors (see below), whose sum is σ = 13209998256. Its totient is φ = 1015094400.

The previous prime is 3806607589. The next prime is 3806607601. The reversal of 3806607600 is 67066083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3806607600² = 28980522840755520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806607601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 525096 + ... + 532295.

Almost surely, 2^3806607600 is an apocalyptic number.

3806607600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3806607600 is an abundant number, since it is smaller than the sum of its proper divisors (9403390656).

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

3806607600 is a wasteful number, since it uses less digits than its factorization.

3806607600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057415 (or 1057401 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3806607600 is about 61697.7114648509. The cubic root of 3806607600 is about 1561.3947093038.

The spelling of 3806607600 in words is "three billion, eight hundred six million, six hundred seven thousand, six hundred".