3644370400 has 144 divisors (see below), whose sum is σ = 9932364288. Its totient is φ = 1294272000.

The previous prime is 3644370377. The next prime is 3644370421. The reversal of 3644370400 is 40734463.

3644370400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3644370400² = 26562871224792320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373585 + ... + 383215.

It is an arithmetic number, because the mean of its divisors is an integer number (68974752).

Almost surely, 2^3644370400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966182144).

3644370400 is an abundant number, since it is smaller than the sum of its proper divisors (6287993888).

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

3644370400 is a wasteful number, since it uses less digits than its factorization.

3644370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9705 (or 9692 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 3644370400 is about 60368.6209880597. The cubic root of 3644370400 is about 1538.8897377828.

The spelling of 3644370400 in words is "three billion, six hundred forty-four million, three hundred seventy thousand, four hundred".