38529533952 has 1152 divisors, whose sum is σ = 153474048000. Its totient is φ = 9316270080.

The previous prime is 38529533923. The next prime is 38529533969. The reversal of 38529533952 is 25933592583.

38529533952 is a `hidden beast` number, since 3 + 8 + 52 + 9 + 533 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8748000) is a multiple of the sum of its prime divisors (75).

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, 1242888177 + ... + 1242888207.

It is an arithmetic number, because the mean of its divisors is an integer number (133224000).

Almost surely, 2^38529533952 is an apocalyptic number.

38529533952 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 38529533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76737024000).

38529533952 is an abundant number, since it is smaller than the sum of its proper divisors (114944514048).

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

38529533952 is a wasteful number, since it uses less digits than its factorization.

38529533952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 54.

The spelling of 38529533952 in words is "thirty-eight billion, five hundred twenty-nine million, five hundred thirty-three thousand, nine hundred fifty-two".