3705049152 has 252 divisors, whose sum is σ = 12426641136. Its totient is φ = 1052352000.

The previous prime is 3705049121. The next prime is 3705049157. The reversal of 3705049152 is 2519405073.

3705049152 is a `hidden beast` number, since 3 + 70 + 50 + 491 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (3705049157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7083963 + ... + 7084485.

It is an arithmetic number, because the mean of its divisors is an integer number (49312068).

Almost surely, 2^3705049152 is an apocalyptic number.

3705049152 is a gapful number since it is divisible by the number (32) 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 3705049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213320568).

3705049152 is an abundant number, since it is smaller than the sum of its proper divisors (8721591984).

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

3705049152 is a wasteful number, since it uses less digits than its factorization.

3705049152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3705049152 is about 60869.1149270301. The cubic root of 3705049152 is about 1547.3836057228.

The spelling of 3705049152 in words is "three billion, seven hundred five million, forty-nine thousand, one hundred fifty-two".