3712285146960 has 320 divisors, whose sum is σ = 14090602310400. Its totient is φ = 892541970432.

The previous prime is 3712285146923. The next prime is 3712285146979. The reversal of 3712285146960 is 696415822173.

It is a happy number.

3712285146960 is a `hidden beast` number, since 3 + 7 + 1 + 2 + 2 + 8 + 514 + 69 + 60 = 666.

It is a super-2 number, since 2×3712285146960² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3712285146897 and 3712285146906.

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, 329815 + ... + 2744694.

It is an arithmetic number, because the mean of its divisors is an integer number (44033132220).

It is a 1-persistent number, because it is pandigital, but 2⋅3712285146960 = 7424570293920 is not.

Almost surely, 2^{3712285146960} is an apocalyptic number.

3712285146960 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 3712285146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045301155200).

3712285146960 is an abundant number, since it is smaller than the sum of its proper divisors (10378317163440).

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

3712285146960 is a wasteful number, since it uses less digits than its factorization.

3712285146960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074587 (or 3074575 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3712285146960 in words is "three trillion, seven hundred twelve billion, two hundred eighty-five million, one hundred forty-six thousand, nine hundred sixty".