3538157238001 has 9 divisors (see below), whose sum is σ = 3758560861899. Its totient is φ = 3330000245664.

The previous prime is 3538157237983. The next prime is 3538157238013. The reversal of 3538157238001 is 1008327518353.

The square root of 3538157238001 is 1880999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2754620687025 + 783536550976 = 1659705^2 + 885176^2 .

It is not a de Polignac number, because 3538157238001 - 2¹³ = 3538157229809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3538157238071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31921660 + ... + 32032306.

Almost surely, 2^{3538157238001} is an apocalyptic number.

3538157238001 is the 1880999-th square number.

3538157238001 is the 940500-th centered octagonal number.

It is an amenable number.

3538157238001 is a deficient number, since it is larger than the sum of its proper divisors (220403623898).

3538157238001 is an frugal number, since it uses more digits than its factorization.

3538157238001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221328 (or 110664 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 3538157238001 in words is "three trillion, five hundred thirty-eight billion, one hundred fifty-seven million, two hundred thirty-eight thousand, one".