382902036480 has 576 divisors, whose sum is σ = 1369425657600. Its totient is φ = 98895790080.

The previous prime is 382902036463. The next prime is 382902036509. The reversal of 382902036480 is 84630209283.

382902036480 is a `hidden beast` number, since 3 + 82 + 90 + 2 + 0 + 3 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×382902036480² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 472135275 + ... + 472136085.

It is an arithmetic number, because the mean of its divisors is an integer number (2377475100).

Almost surely, 2^382902036480 is an apocalyptic number.

382902036480 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 382902036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684712828800).

382902036480 is an abundant number, since it is smaller than the sum of its proper divisors (986523621120).

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

382902036480 is a wasteful number, since it uses less digits than its factorization.

382902036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 382902036480 in words is "three hundred eighty-two billion, nine hundred two million, thirty-six thousand, four hundred eighty".