3456644400 has 360 divisors, whose sum is σ = 13411485360. Its totient is φ = 817152000.

The previous prime is 3456644371. The next prime is 3456644413. The reversal of 3456644400 is 44466543.

3456644400 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 644 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1622536 + ... + 1624664.

It is an arithmetic number, because the mean of its divisors is an integer number (37254126).

Almost surely, 2^3456644400 is an apocalyptic number.

3456644400 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 3456644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705742680).

3456644400 is an abundant number, since it is smaller than the sum of its proper divisors (9954840960).

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

3456644400 is a wasteful number, since it uses less digits than its factorization.

3456644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3456644400 is about 58793.2343046375. The cubic root of 3456644400 is about 1511.9992231456. Note that the first 3 decimals are identical.

The spelling of 3456644400 in words is "three billion, four hundred fifty-six million, six hundred forty-four thousand, four hundred".