3286157292720 has 360 divisors, whose sum is σ = 12157595499504. Its totient is φ = 824759635968.

The previous prime is 3286157292689. The next prime is 3286157292721. The reversal of 3286157292720 is 272927516823.

3286157292720 is a `hidden beast` number, since 3 + 2 + 8 + 61 + 572 + 9 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (3286157292721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5325702 + ... + 5910618.

Almost surely, 2^{3286157292720} is an apocalyptic number.

3286157292720 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 3286157292720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078797749752).

3286157292720 is an abundant number, since it is smaller than the sum of its proper divisors (8871438206784).

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

3286157292720 is a wasteful number, since it uses less digits than its factorization.

3286157292720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584979 (or 584944 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3286157292720 in words is "three trillion, two hundred eighty-six billion, one hundred fifty-seven million, two hundred ninety-two thousand, seven hundred twenty".