3754460160000 has 1400 divisors, whose sum is σ = 15308699323104. Its totient is φ = 909066240000.

The previous prime is 3754460159987. The next prime is 3754460160019. The reversal of 3754460160000 is 610644573.

It is a happy number.

3754460160000 is a `hidden beast` number, since 3 + 7 + 5 + 4 + 46 + 0 + 1 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 4561919589 + ... + 4561920411.

Almost surely, 2^{3754460160000} is an apocalyptic number.

3754460160000 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 3754460160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7654349661552).

3754460160000 is an abundant number, since it is smaller than the sum of its proper divisors (11554239163104).

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

3754460160000 is an frugal number, since it uses more digits than its factorization.

3754460160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 3754460160000 in words is "three trillion, seven hundred fifty-four billion, four hundred sixty million, one hundred sixty thousand".