3706164700 has 288 divisors, whose sum is σ = 10199347200. Its totient is φ = 1140480000.

The previous prime is 3706164661. The next prime is 3706164799. The reversal of 3706164700 is 74616073.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36694650 + ... + 36694750.

It is an arithmetic number, because the mean of its divisors is an integer number (35414400).

Almost surely, 2^3706164700 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 3706164700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099673600).

3706164700 is an abundant number, since it is smaller than the sum of its proper divisors (6493182500).

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

3706164700 is a wasteful number, since it uses less digits than its factorization.

3706164700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 3706164700 is about 60878.2777351659. The cubic root of 3706164700 is about 1547.5388899849.

It can be divided in two parts, 37061 and 64700, that added together give a square (101761 = 319²).

The spelling of 3706164700 in words is "three billion, seven hundred six million, one hundred sixty-four thousand, seven hundred".