3754892160 has 512 divisors, whose sum is σ = 14100480000. Its totient is φ = 942907392.

The previous prime is 3754892137. The next prime is 3754892171. The reversal of 3754892160 is 612984573.

3754892160 is a `hidden beast` number, since 3 + 7 + 5 + 489 + 2 + 160 = 666.

3754892160 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) 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 (45).

3754892160 is strictly pandigital in base 10.

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, 29566017 + ... + 29566143.

It is an arithmetic number, because the mean of its divisors is an integer number (27540000).

It is a 1-persistent number, because it is pandigital, but 2⋅3754892160 = 7509784320 is not.

Almost surely, 2^3754892160 is an apocalyptic number.

3754892160 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 3754892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240000).

3754892160 is an abundant number, since it is smaller than the sum of its proper divisors (10345587840).

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

3754892160 is a wasteful number, since it uses less digits than its factorization.

3754892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3754892160 is about 61277.1748696038. The cubic root of 3754892160 is about 1554.2915628899.

The spelling of 3754892160 in words is "three billion, seven hundred fifty-four million, eight hundred ninety-two thousand, one hundred sixty".