3672820800 has 672 divisors, whose sum is σ = 14966899200. Its totient is φ = 868608000.

The previous prime is 3672820787. The next prime is 3672820817. The reversal of 3672820800 is 80282763.

It is a happy number.

It is a super-2 number, since 2×3672820800² = 26979225257825280000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 28036735 + ... + 28036865.

Almost surely, 2^3672820800 is an apocalyptic number.

3672820800 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 3672820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483449600).

3672820800 is an abundant number, since it is smaller than the sum of its proper divisors (11294078400).

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

3672820800 is a wasteful number, since it uses less digits than its factorization.

3672820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3672820800 is about 60603.8018609394. The cubic root of 3672820800 is about 1542.8838972433.

The spelling of 3672820800 in words is "three billion, six hundred seventy-two million, eight hundred twenty thousand, eight hundred".