3538157238000 has 3840 divisors, whose sum is σ = 17338290278400. Its totient is φ = 650280960000.

The previous prime is 3538157237983. The next prime is 3538157238013. The reversal of 3538157238000 is 8327518353.

3538157238000 is a `hidden beast` number, since 3 + 538 + 15 + 7 + 23 + 80 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 1880999²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 31311125944 + ... + 31311126056.

It is an arithmetic number, because the mean of its divisors is an integer number (4515179760).

Almost surely, 2^{3538157238000} is an apocalyptic number.

3538157238000 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 3538157238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8669145139200).

3538157238000 is an abundant number, since it is smaller than the sum of its proper divisors (13800133040400).

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

3538157238000 is a wasteful number, since it uses less digits than its factorization.

3538157238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3538157238000 in words is "three trillion, five hundred thirty-eight billion, one hundred fifty-seven million, two hundred thirty-eight thousand".