3487043200 has 96 divisors (see below), whose sum is σ = 8631501120. Its totient is φ = 1392000000.

The previous prime is 3487043177. The next prime is 3487043233. The reversal of 3487043200 is 23407843.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2402475 + ... + 2403925.

It is an arithmetic number, because the mean of its divisors is an integer number (89911470).

Almost surely, 2^3487043200 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 3487043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315750560).

3487043200 is an abundant number, since it is smaller than the sum of its proper divisors (5144457920).

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

3487043200 is a wasteful number, since it uses less digits than its factorization.

3487043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 3487043200 is about 59051.1913512335. The cubic root of 3487043200 is about 1516.4186227749.

The spelling of 3487043200 in words is "three billion, four hundred eighty-seven million, forty-three thousand, two hundred".