38006965832400 has 960 divisors, whose sum is σ = 139279067712000. Its totient is φ = 9964041984000.

The previous prime is 38006965832399. The next prime is 38006965832411. The reversal of 38006965832400 is 423856960083.

38006965832400 is a `hidden beast` number, since 38 + 0 + 0 + 6 + 9 + 6 + 583 + 24 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13164863757 + ... + 13164866643.

It is an arithmetic number, because the mean of its divisors is an integer number (145082362200).

Almost surely, 2^{38006965832400} is an apocalyptic number.

38006965832400 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 38006965832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69639533856000).

38006965832400 is an abundant number, since it is smaller than the sum of its proper divisors (101272101879600).

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

38006965832400 is a wasteful number, since it uses less digits than its factorization.

38006965832400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 38006965832400 in words is "thirty-eight trillion, six billion, nine hundred sixty-five million, eight hundred thirty-two thousand, four hundred".