3542739200 has 648 divisors, whose sum is σ = 12135473280. Its totient is φ = 1006387200.

The previous prime is 3542739173. The next prime is 3542739217. The reversal of 3542739200 is 29372453.

It is a super-3 number, since 3×3542739200³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 44844761 + ... + 44844839.

Almost surely, 2^3542739200 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 3542739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067736640).

3542739200 is an abundant number, since it is smaller than the sum of its proper divisors (8592734080).

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

3542739200 is a wasteful number, since it uses less digits than its factorization.

3542739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 3542739200 is about 59520.9139714773. The cubic root of 3542739200 is about 1524.4495657501.

The spelling of 3542739200 in words is "three billion, five hundred forty-two million, seven hundred thirty-nine thousand, two hundred".