3772075474200 has 384 divisors, whose sum is σ = 13512760485120. Its totient is φ = 860275507200.

The previous prime is 3772075474187. The next prime is 3772075474243. The reversal of 3772075474200 is 24745702773.

It is a super-2 number, since 2×3772075474200² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3772075474200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317856667 + ... + 317868533.

It is an arithmetic number, because the mean of its divisors is an integer number (35189480430).

Almost surely, 2^{3772075474200} is an apocalyptic number.

3772075474200 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 3772075474200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756380242560).

3772075474200 is an abundant number, since it is smaller than the sum of its proper divisors (9740685010920).

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

3772075474200 is a wasteful number, since it uses less digits than its factorization.

3772075474200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14747 (or 14738 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 48.

The spelling of 3772075474200 in words is "three trillion, seven hundred seventy-two billion, seventy-five million, four hundred seventy-four thousand, two hundred".