3542133672 has 384 divisors, whose sum is σ = 13023360000. Its totient is φ = 870756480.

The previous prime is 3542133613. The next prime is 3542133703. The reversal of 3542133672 is 2763312453.

3542133672 is a `hidden beast` number, since 3 + 542 + 13 + 36 + 72 = 666.

It is a super-3 number, since 3×3542133672³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3475579 + ... + 3476597.

It is an arithmetic number, because the mean of its divisors is an integer number (33915000).

Almost surely, 2^3542133672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542133672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511680000).

3542133672 is an abundant number, since it is smaller than the sum of its proper divisors (9481226328).

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

3542133672 is a wasteful number, since it uses less digits than its factorization.

3542133672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1061 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 3542133672 is about 59515.8270714606. The cubic root of 3542133672 is about 1524.3627073955.

The spelling of 3542133672 in words is "three billion, five hundred forty-two million, one hundred thirty-three thousand, six hundred seventy-two".