3705297120 has 288 divisors, whose sum is σ = 14583022272. Its totient is φ = 839172096.

The previous prime is 3705297073. The next prime is 3705297133. The reversal of 3705297120 is 217925073.

3705297120 is a `hidden beast` number, since 3 + 7 + 0 + 529 + 7 + 120 = 666.

3705297120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1137414 + ... + 1140666.

It is an arithmetic number, because the mean of its divisors is an integer number (50635494).

Almost surely, 2^3705297120 is an apocalyptic number.

3705297120 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 3705297120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291511136).

3705297120 is an abundant number, since it is smaller than the sum of its proper divisors (10877725152).

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

3705297120 is a wasteful number, since it uses less digits than its factorization.

3705297120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 3705297120 is about 60871.1517880186. The cubic root of 3705297120 is about 1547.4181255580.

The spelling of 3705297120 in words is "three billion, seven hundred five million, two hundred ninety-seven thousand, one hundred twenty".