3676032000 has 264 divisors, whose sum is σ = 13251000672. Its totient is φ = 979968000.

The previous prime is 3676031981. The next prime is 3676032001. The reversal of 3676032000 is 2306763.

3676032000 is a `hidden beast` number, since 36 + 7 + 603 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×3676032000² = 27026422530048000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3676032001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1150405 + ... + 1153595.

Almost surely, 2^3676032000 is an apocalyptic number.

3676032000 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 3676032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625500336).

3676032000 is an abundant number, since it is smaller than the sum of its proper divisors (9574968672).

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

3676032000 is a wasteful number, since it uses less digits than its factorization.

3676032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3676032000 is about 60630.2894599721. The cubic root of 3676032000 is about 1543.3334214472. Note that the first 3 decimals are identical.

Adding to 3676032000 its reverse (2306763), we get a palindrome (3678338763).

The spelling of 3676032000 in words is "three billion, six hundred seventy-six million, thirty-two thousand".