3795164460 has 288 divisors, whose sum is σ = 12579840000. Its totient is φ = 923650560.

The previous prime is 3795164453. The next prime is 3795164533. The reversal of 3795164460 is 644615973.

3795164460 is a `hidden beast` number, since 3 + 79 + 516 + 4 + 4 + 60 = 666.

3795164460 is digitally balanced in base 2 and base 4, because in such bases 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7605291 + ... + 7605789.

It is an arithmetic number, because the mean of its divisors is an integer number (43680000).

Almost surely, 2^3795164460 is an apocalyptic number.

3795164460 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 3795164460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920000).

3795164460 is an abundant number, since it is smaller than the sum of its proper divisors (8784675540).

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

3795164460 is a wasteful number, since it uses less digits than its factorization.

3795164460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3795164460 is about 61604.9061357941. The cubic root of 3795164460 is about 1559.8285561097.

The spelling of 3795164460 in words is "three billion, seven hundred ninety-five million, one hundred sixty-four thousand, four hundred sixty".