3705474816 has 144 divisors (see below), whose sum is σ = 11254672800. Its totient is φ = 1201692672.

The previous prime is 3705474803. The next prime is 3705474841. The reversal of 3705474816 is 6184745073.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3705474816² = 27461087224020467712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248500 + ... + 262988.

It is an arithmetic number, because the mean of its divisors is an integer number (78157450).

Almost surely, 2^3705474816 is an apocalyptic number.

3705474816 is a gapful number since it is divisible by the number (36) 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 3705474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627336400).

3705474816 is an abundant number, since it is smaller than the sum of its proper divisors (7549197984).

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

3705474816 is a wasteful number, since it uses less digits than its factorization.

3705474816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14551 (or 14531 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3705474816 is about 60872.6113781888. The cubic root of 3705474816 is about 1547.4428618213.

The spelling of 3705474816 in words is "three billion, seven hundred five million, four hundred seventy-four thousand, eight hundred sixteen".