3735824540160 has 320 divisors, whose sum is σ = 12470479338240. Its totient is φ = 952274780160.

The previous prime is 3735824540153. The next prime is 3735824540213. The reversal of 3735824540160 is 610454285373.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303991296 + ... + 304003584.

It is an arithmetic number, because the mean of its divisors is an integer number (38970247932).

Almost surely, 2^{3735824540160} is an apocalyptic number.

3735824540160 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 3735824540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235239669120).

3735824540160 is an abundant number, since it is smaller than the sum of its proper divisors (8734654798080).

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

3735824540160 is a wasteful number, since it uses less digits than its factorization.

3735824540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14059 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 3735824540160 in words is "three trillion, seven hundred thirty-five billion, eight hundred twenty-four million, five hundred forty thousand, one hundred sixty".