3129030901248 has 160 divisors (see below), whose sum is σ = 9561944663040. Its totient is φ = 890709073920.

The previous prime is 3129030901231. The next prime is 3129030901277. The reversal of 3129030901248 is 8421090309213.

It is a super-2 number, since 2×3129030901248² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2376858 + ... + 3450726.

It is an arithmetic number, because the mean of its divisors is an integer number (59762154144).

Almost surely, 2^{3129030901248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3129030901248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780972331520).

3129030901248 is an abundant number, since it is smaller than the sum of its proper divisors (6432913761792).

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

3129030901248 is a wasteful number, since it uses less digits than its factorization.

3129030901248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074168 (or 1074152 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 3129030901248 in words is "three trillion, one hundred twenty-nine billion, thirty million, nine hundred one thousand, two hundred forty-eight".