3281511408630 has 768 divisors, whose sum is σ = 10661555404800. Its totient is φ = 630497986560.

The previous prime is 3281511408607. The next prime is 3281511408691. The reversal of 3281511408630 is 368041151823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3741745752 + ... + 3741746628.

It is an arithmetic number, because the mean of its divisors is an integer number (13882233600).

Almost surely, 2^{3281511408630} is an apocalyptic number.

3281511408630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3281511408630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330777702400).

3281511408630 is an abundant number, since it is smaller than the sum of its proper divisors (7380043996170).

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

3281511408630 is a wasteful number, since it uses less digits than its factorization.

3281511408630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 3281511408630 in words is "three trillion, two hundred eighty-one billion, five hundred eleven million, four hundred eight thousand, six hundred thirty".