3764312222400 has 588 divisors, whose sum is σ = 14491395332112. Its totient is φ = 960165550080.

The previous prime is 3764312222387. The next prime is 3764312222441. The reversal of 3764312222400 is 42222134673.

3764312222400 is a `hidden beast` number, since 3 + 7 + 643 + 1 + 2 + 2 + 2 + 2 + 4 + 0 + 0 = 666.

3764312222400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 83 ways as a sum of consecutive naturals, for example, 26757042 + ... + 26897358.

Almost surely, 2^{3764312222400} is an apocalyptic number.

3764312222400 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 3764312222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245697666056).

3764312222400 is an abundant number, since it is smaller than the sum of its proper divisors (10727083109712).

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

3764312222400 is a wasteful number, since it uses less digits than its factorization.

3764312222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140380 (or 140350 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 3764312222400 in words is "three trillion, seven hundred sixty-four billion, three hundred twelve million, two hundred twenty-two thousand, four hundred".