38215037952 has 880 divisors, whose sum is σ = 144474836352. Its totient is φ = 9794027520.

The previous prime is 38215037951. The next prime is 38215037969. The reversal of 38215037952 is 25973051283.

38215037952 is a `hidden beast` number, since 3 + 8 + 21 + 503 + 79 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38215037898 and 38215037907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38215037951) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 460422103 + ... + 460422185.

Almost surely, 2^38215037952 is an apocalyptic number.

38215037952 is a gapful number since it is divisible by the number (32) 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 38215037952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72237418176).

38215037952 is an abundant number, since it is smaller than the sum of its proper divisors (106259798400).

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

38215037952 is a wasteful number, since it uses less digits than its factorization.

38215037952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 38215037952 in words is "thirty-eight billion, two hundred fifteen million, thirty-seven thousand, nine hundred fifty-two".