38356901280000 has 1620 divisors, whose sum is σ = 147951954182032. Its totient is φ = 9548098560000.

The previous prime is 38356901279951. The next prime is 38356901280007. The reversal of 38356901280000 is 8210965383.

It is a happy number.

38356901280000 is a `hidden beast` number, since 3 + 8 + 3 + 569 + 0 + 1 + 2 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38356901280007) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 32755679415 + ... + 32755680585.

Almost surely, 2^{38356901280000} is an apocalyptic number.

38356901280000 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 38356901280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73975977091016).

38356901280000 is an abundant number, since it is smaller than the sum of its proper divisors (109595052902032).

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

38356901280000 is a wasteful number, since it uses less digits than its factorization.

38356901280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 38356901280000 in words is "thirty-eight trillion, three hundred fifty-six billion, nine hundred one million, two hundred eighty thousand".