3705478233600 has 960 divisors, whose sum is σ = 14460202487808. Its totient is φ = 824623104000.

The previous prime is 3705478233547. The next prime is 3705478233617. The reversal of 3705478233600 is 63328745073.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3705478233600.

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, 1048817434 + ... + 1048820966.

Almost surely, 2^{3705478233600} is an apocalyptic number.

3705478233600 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 3705478233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7230101243904).

3705478233600 is an abundant number, since it is smaller than the sum of its proper divisors (10754724254208).

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

3705478233600 is a wasteful number, since it uses less digits than its factorization.

3705478233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 3705478233600 in words is "three trillion, seven hundred five billion, four hundred seventy-eight million, two hundred thirty-three thousand, six hundred".