3797598339072 has 480 divisors, whose sum is σ = 11887931895840. Its totient is φ = 1210828455936.

The previous prime is 3797598338999. The next prime is 3797598339079. The reversal of 3797598339072 is 2709338957973.

3797598339072 is a `hidden beast` number, since 3 + 7 + 97 + 5 + 9 + 83 + 390 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3797598339079) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 165112971253 + ... + 165112971275.

It is an arithmetic number, because the mean of its divisors is an integer number (24766524783).

Almost surely, 2^{3797598339072} is an apocalyptic number.

3797598339072 is a gapful number since it is divisible by the number (32) 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 3797598339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943965947920).

3797598339072 is an abundant number, since it is smaller than the sum of its proper divisors (8090333556768).

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

3797598339072 is an frugal number, since it uses more digits than its factorization.

3797598339072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 540101520, while the sum is 72.

The spelling of 3797598339072 in words is "three trillion, seven hundred ninety-seven billion, five hundred ninety-eight million, three hundred thirty-nine thousand, seventy-two".