3125998008000 has 1120 divisors, whose sum is σ = 13270573375488. Its totient is φ = 711597312000.

The previous prime is 3125998007921. The next prime is 3125998008083. The reversal of 3125998008000 is 8008995213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 1229254729 + ... + 1229257271.

Almost surely, 2^{3125998008000} is an apocalyptic number.

3125998008000 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 3125998008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635286687744).

3125998008000 is an abundant number, since it is smaller than the sum of its proper divisors (10144575367488).

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

3125998008000 is a wasteful number, since it uses less digits than its factorization.

3125998008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 3125998008000 in words is "three trillion, one hundred twenty-five billion, nine hundred ninety-eight million, eight thousand".