3280398149952 has 2352 divisors, whose sum is σ = 13717902683520. Its totient is φ = 756767784960.

The previous prime is 3280398149927. The next prime is 3280398149981. The reversal of 3280398149952 is 2599418930823.

3280398149952 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 3 + 98 + 1 + 499 + 52 = 666.

It is a super-2 number, since 2×3280398149952² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3280398149952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 12764195008 + ... + 12764195264.

Almost surely, 2^{3280398149952} is an apocalyptic number.

3280398149952 is a gapful number since it is divisible by the number (32) 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 3280398149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858951341760).

3280398149952 is an abundant number, since it is smaller than the sum of its proper divisors (10437504533568).

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

3280398149952 is a wasteful number, since it uses less digits than its factorization.

3280398149952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 3280398149952 in words is "three trillion, two hundred eighty billion, three hundred ninety-eight million, one hundred forty-nine thousand, nine hundred fifty-two".