3797398800 has 960 divisors, whose sum is σ = 16196463360. Its totient is φ = 836075520.

The previous prime is 3797398799. The next prime is 3797398807. The reversal of 3797398800 is 88937973.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3797398807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88311579 + ... + 88311621.

It is an arithmetic number, because the mean of its divisors is an integer number (16871316).

Almost surely, 2^3797398800 is an apocalyptic number.

3797398800 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 3797398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8098231680).

3797398800 is an abundant number, since it is smaller than the sum of its proper divisors (12399064560).

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

3797398800 is a wasteful number, since it uses less digits than its factorization.

3797398800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 3797398800 is about 61623.0378997985. The cubic root of 3797398800 is about 1560.1346037701.

The spelling of 3797398800 in words is "three billion, seven hundred ninety-seven million, three hundred ninety-eight thousand, eight hundred".