38002763520 has 360 divisors, whose sum is σ = 136493169120. Its totient is φ = 10095943680.

The previous prime is 38002763489. The next prime is 38002763549. The reversal of 38002763520 is 2536720083.

38002763520 is a `hidden beast` number, since 38 + 0 + 0 + 276 + 352 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37220610 + ... + 37221630.

It is an arithmetic number, because the mean of its divisors is an integer number (379147692).

Almost surely, 2^38002763520 is an apocalyptic number.

38002763520 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 38002763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68246584560).

38002763520 is an abundant number, since it is smaller than the sum of its proper divisors (98490405600).

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

38002763520 is a wasteful number, since it uses less digits than its factorization.

38002763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 38002763520 in words is "thirty-eight billion, two million, seven hundred sixty-three thousand, five hundred twenty".