396761003520 has 1280 divisors, whose sum is σ = 1643011983360. Its totient is φ = 79498838016.

The previous prime is 396761003497. The next prime is 396761003549. The reversal of 396761003520 is 25300167693.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1267606884 + ... + 1267607196.

It is an arithmetic number, because the mean of its divisors is an integer number (1283603112).

Almost surely, 2^396761003520 is an apocalyptic number.

396761003520 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 396761003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821505991680).

396761003520 is an abundant number, since it is smaller than the sum of its proper divisors (1246250979840).

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

396761003520 is a wasteful number, since it uses less digits than its factorization.

396761003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 396761003520 in words is "three hundred ninety-six billion, seven hundred sixty-one million, three thousand, five hundred twenty".