3723382427520 has 384 divisors, whose sum is σ = 13866858840960. Its totient is φ = 847304822784.

The previous prime is 3723382427489. The next prime is 3723382427533. The reversal of 3723382427520 is 257242833273.

It is a tau number, because it is divible by the number of its divisors (384).

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 3723382427520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21268987 + ... + 21443333.

It is an arithmetic number, because the mean of its divisors is an integer number (36111611565).

Almost surely, 2^{3723382427520} is an apocalyptic number.

3723382427520 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 3723382427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933429420480).

3723382427520 is an abundant number, since it is smaller than the sum of its proper divisors (10143476413440).

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

3723382427520 is a wasteful number, since it uses less digits than its factorization.

3723382427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174610 (or 174591 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 3723382427520 in words is "three trillion, seven hundred twenty-three billion, three hundred eighty-two million, four hundred twenty-seven thousand, five hundred twenty".