3797670240 has 576 divisors, whose sum is σ = 16209438336. Its totient is φ = 788299776.

The previous prime is 3797670211. The next prime is 3797670251. The reversal of 3797670240 is 420767973.

It is a happy number.

3797670240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9565722 + ... + 9566118.

It is an arithmetic number, because the mean of its divisors is an integer number (28141386).

Almost surely, 2^3797670240 is an apocalyptic number.

3797670240 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 3797670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104719168).

3797670240 is an abundant number, since it is smaller than the sum of its proper divisors (12411768096).

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

3797670240 is a wasteful number, since it uses less digits than its factorization.

3797670240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 3797670240 is about 61625.2402835072. The cubic root of 3797670240 is about 1560.1717759564.

The spelling of 3797670240 in words is "three billion, seven hundred ninety-seven million, six hundred seventy thousand, two hundred forty".