3745320284160 has 2496 divisors, whose sum is σ = 17268693442560. Its totient is φ = 764730408960.

The previous prime is 3745320284099. The next prime is 3745320284179. The reversal of 3745320284160 is 614820235473.

3745320284160 is a `hidden beast` number, since 3 + 7 + 45 + 320 + 284 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120816783345 + ... + 120816783375.

Almost surely, 2^{3745320284160} is an apocalyptic number.

3745320284160 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 3745320284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634346721280).

3745320284160 is an abundant number, since it is smaller than the sum of its proper divisors (13523373158400).

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

3745320284160 is an frugal number, since it uses more digits than its factorization.

3745320284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3745320284160 in words is "three trillion, seven hundred forty-five billion, three hundred twenty million, two hundred eighty-four thousand, one hundred sixty".