3797147640 has 256 divisors, whose sum is σ = 13557196800. Its totient is φ = 838656000.

The previous prime is 3797147609. The next prime is 3797147647. The reversal of 3797147640 is 467417973.

It is a Cunningham number, because it is equal to 61621²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 3797147640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3797147647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1354240 + ... + 1357040.

It is an arithmetic number, because the mean of its divisors is an integer number (52957800).

Almost surely, 2^3797147640 is an apocalyptic number.

3797147640 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 3797147640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778598400).

3797147640 is an abundant number, since it is smaller than the sum of its proper divisors (9760049160).

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

3797147640 is a wasteful number, since it uses less digits than its factorization.

3797147640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The square root of 3797147640 is about 61620.9999918859. Note that the first 5 decimals coincide. The cubic root of 3797147640 is about 1560.1002072382.

The spelling of 3797147640 in words is "three billion, seven hundred ninety-seven million, one hundred forty-seven thousand, six hundred forty".