3754181217360 has 320 divisors, whose sum is σ = 13898710425600. Its totient is φ = 819613132800.

The previous prime is 3754181217349. The next prime is 3754181217421. The reversal of 3754181217360 is 637121814573.

It is a super-2 number, since 2×3754181217360² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27017341 + ... + 27155939.

It is an arithmetic number, because the mean of its divisors is an integer number (43433470080).

Almost surely, 2^{3754181217360} is an apocalyptic number.

3754181217360 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 3754181217360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949355212800).

3754181217360 is an abundant number, since it is smaller than the sum of its proper divisors (10144529208240).

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

3754181217360 is a wasteful number, since it uses less digits than its factorization.

3754181217360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139346 (or 139340 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 3754181217360 in words is "three trillion, seven hundred fifty-four billion, one hundred eighty-one million, two hundred seventeen thousand, three hundred sixty".