3721636800 has 672 divisors, whose sum is σ = 16045322240. Its totient is φ = 821145600.

The previous prime is 3721636777. The next prime is 3721636811. The reversal of 3721636800 is 86361273.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3721636800² = 27701160942228480000, which contains 22 as substring.

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

It is a congruent number.

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, 9374202 + ... + 9374598.

Almost surely, 2^3721636800 is an apocalyptic number.

3721636800 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 3721636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022661120).

3721636800 is an abundant number, since it is smaller than the sum of its proper divisors (12323685440).

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

3721636800 is a wasteful number, since it uses less digits than its factorization.

3721636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 445 counting only the distinct ones).

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

The square root of 3721636800 is about 61005.2194488308. The cubic root of 3721636800 is about 1549.6894001296.

The spelling of 3721636800 in words is "three billion, seven hundred twenty-one million, six hundred thirty-six thousand, eight hundred".