3542972940 has 384 divisors, whose sum is σ = 12666931200. Its totient is φ = 814924800.

The previous prime is 3542972929. The next prime is 3542972957. The reversal of 3542972940 is 492792453.

3542972940 is a `hidden beast` number, since 354 + 2 + 9 + 7 + 294 + 0 = 666.

3542972940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13471249 + ... + 13471511.

It is an arithmetic number, because the mean of its divisors is an integer number (32986800).

Almost surely, 2^3542972940 is an apocalyptic number.

3542972940 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 3542972940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333465600).

3542972940 is an abundant number, since it is smaller than the sum of its proper divisors (9123958260).

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

3542972940 is a wasteful number, since it uses less digits than its factorization.

3542972940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3542972940 is about 59522.8774506072. The cubic root of 3542972940 is about 1524.4830913156.

The spelling of 3542972940 in words is "three billion, five hundred forty-two million, nine hundred seventy-two thousand, nine hundred forty".