3542045760 has 672 divisors, whose sum is σ = 14258934144. Its totient is φ = 829440000.

The previous prime is 3542045753. The next prime is 3542045777. The reversal of 3542045760 is 675402453.

3542045760 is a `hidden beast` number, since 3 + 542 + 0 + 4 + 57 + 60 = 666.

It is a super-3 number, since 3×3542045760³ (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, 35069710 + ... + 35069810.

It is an arithmetic number, because the mean of its divisors is an integer number (21218652).

Almost surely, 2^3542045760 is an apocalyptic number.

3542045760 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 3542045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129467072).

3542045760 is an abundant number, since it is smaller than the sum of its proper divisors (10716888384).

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

3542045760 is a wasteful number, since it uses less digits than its factorization.

3542045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3542045760 is about 59515.0885070332. The cubic root of 3542045760 is about 1524.3500962694.

The spelling of 3542045760 in words is "three billion, five hundred forty-two million, forty-five thousand, seven hundred sixty".