3797274981600 has 216 divisors, whose sum is σ = 13417424557992. Its totient is φ = 1010543385600.

The previous prime is 3797274981593. The next prime is 3797274981641. The reversal of 3797274981600 is 61894727973.

3797274981600 is a `hidden beast` number, since 3 + 79 + 72 + 7 + 498 + 1 + 6 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 2998134 + ... + 4072266.

It is an arithmetic number, because the mean of its divisors is an integer number (62117706287).

Almost surely, 2^{3797274981600} is an apocalyptic number.

3797274981600 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 3797274981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708712278996).

3797274981600 is an abundant number, since it is smaller than the sum of its proper divisors (9620149576392).

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

3797274981600 is a wasteful number, since it uses less digits than its factorization.

3797274981600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074650 (or 1074634 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 3797274981600 in words is "three trillion, seven hundred ninety-seven billion, two hundred seventy-four million, nine hundred eighty-one thousand, six hundred".