3542200704 has 384 divisors, whose sum is σ = 12496224000. Its totient is φ = 940584960.

The previous prime is 3542200687. The next prime is 3542200729. The reversal of 3542200704 is 4070022453.

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

It is a super-3 number, since 3×3542200704³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9345987 + ... + 9346365.

It is an arithmetic number, because the mean of its divisors is an integer number (32542250).

Almost surely, 2^3542200704 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 3542200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248112000).

3542200704 is an abundant number, since it is smaller than the sum of its proper divisors (8954023296).

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

3542200704 is a wasteful number, since it uses less digits than its factorization.

3542200704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3542200704 is about 59516.3902131169. The cubic root of 3542200704 is about 1524.3723231098.

The spelling of 3542200704 in words is "three billion, five hundred forty-two million, two hundred thousand, seven hundred four".