3542870016 has 384 divisors, whose sum is σ = 12249619200. Its totient is φ = 1003290624.

The previous prime is 3542869973. The next prime is 3542870063. The reversal of 3542870016 is 6100782453.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31352776 + ... + 31352888.

It is an arithmetic number, because the mean of its divisors is an integer number (31900050).

Almost surely, 2^3542870016 is an apocalyptic number.

3542870016 is a gapful number since it is divisible by the number (36) 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 3542870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124809600).

3542870016 is an abundant number, since it is smaller than the sum of its proper divisors (8706749184).

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

3542870016 is an frugal number, since it uses more digits than its factorization.

3542870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3542870016 is about 59522.0128691898. The cubic root of 3542870016 is about 1524.4683290035.

The spelling of 3542870016 in words is "three billion, five hundred forty-two million, eight hundred seventy thousand, sixteen".