3572216672400 has 150 divisors (see below), whose sum is σ = 12820399094162. Its totient is φ = 952591104000.

The previous prime is 3572216672389. The next prime is 3572216672411. The reversal of 3572216672400 is 42766122753.

3572216672400 is a `hidden beast` number, since 3 + 572 + 2 + 1 + 6 + 6 + 72 + 4 + 0 + 0 = 666.

3572216672400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3572216672389) and next prime (3572216672411).

It can be written as a sum of positive squares in 3 ways, for example, as 13304238336 + 3558912434064 = 115344^2 + 1886508^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 55094401 + ... + 55159200.

Almost surely, 2^{3572216672400} is an apocalyptic number.

3572216672400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3572216672400 is an abundant number, since it is smaller than the sum of its proper divisors (9248182421762).

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

3572216672400 is a wasteful number, since it uses less digits than its factorization.

3572216672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110253631 (or 110253611 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 3572216672400 in words is "three trillion, five hundred seventy-two billion, two hundred sixteen million, six hundred seventy-two thousand, four hundred".