3490725600 has 648 divisors, whose sum is σ = 13929420960. Its totient is φ = 819486720.

The previous prime is 3490725599. The next prime is 3490725629. The reversal of 3490725600 is 65270943.

3490725600 is a `hidden beast` number, since 3 + 4 + 90 + 7 + 2 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44186361 + ... + 44186439.

It is an arithmetic number, because the mean of its divisors is an integer number (21496020).

Almost surely, 2^3490725600 is an apocalyptic number.

3490725600 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 3490725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964710480).

3490725600 is an abundant number, since it is smaller than the sum of its proper divisors (10438695360).

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

3490725600 is a wasteful number, since it uses less digits than its factorization.

3490725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3490725600 is about 59082.3628505157. The cubic root of 3490725600 is about 1516.9522262832.

The spelling of 3490725600 in words is "three billion, four hundred ninety million, seven hundred twenty-five thousand, six hundred".