3705313248 has 480 divisors, whose sum is σ = 14015586816. Its totient is φ = 933368832.

The previous prime is 3705313247. The next prime is 3705313277. The reversal of 3705313248 is 8423135073.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3705313247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5424715 + ... + 5425397.

Almost surely, 2^3705313248 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 3705313248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007793408).

3705313248 is an abundant number, since it is smaller than the sum of its proper divisors (10310273568).

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

3705313248 is a wasteful number, since it uses less digits than its factorization.

3705313248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3705313248 is about 60871.2842644214. The cubic root of 3705313248 is about 1547.4203706972.

The spelling of 3705313248 in words is "three billion, seven hundred five million, three hundred thirteen thousand, two hundred forty-eight".