3746081364480 has 1200 divisors, whose sum is σ = 16605396365184. Its totient is φ = 790330245120.

The previous prime is 3746081364461. The next prime is 3746081364511. The reversal of 3746081364480 is 844631806473.

3746081364480 is a `hidden beast` number, since 3 + 7 + 4 + 60 + 8 + 136 + 448 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 245299245 + ... + 245314515.

Almost surely, 2^{3746081364480} is an apocalyptic number.

3746081364480 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 3746081364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302698182592).

3746081364480 is an abundant number, since it is smaller than the sum of its proper divisors (12859315000704).

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

3746081364480 is a wasteful number, since it uses less digits than its factorization.

3746081364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15339 (or 15301 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 3746081364480 in words is "three trillion, seven hundred forty-six billion, eighty-one million, three hundred sixty-four thousand, four hundred eighty".