3491376125952 has 768 divisors, whose sum is σ = 11579742720000. Its totient is φ = 919683072000.

The previous prime is 3491376125899. The next prime is 3491376125999. The reversal of 3491376125952 is 2595216731943.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 3491376125892 and 3491376125901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3321955827 + ... + 3321956877.

It is an arithmetic number, because the mean of its divisors is an integer number (15077790000).

Almost surely, 2^{3491376125952} is an apocalyptic number.

3491376125952 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 3491376125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789871360000).

3491376125952 is an abundant number, since it is smaller than the sum of its proper divisors (8088366594048).

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

3491376125952 is a wasteful number, since it uses less digits than its factorization.

3491376125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1298 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 57.

The spelling of 3491376125952 in words is "three trillion, four hundred ninety-one billion, three hundred seventy-six million, one hundred twenty-five thousand, nine hundred fifty-two".