3425944273920 has 2640 divisors, whose sum is σ = 15515969686272. Its totient is φ = 717910179840.

The previous prime is 3425944273909. The next prime is 3425944273949. The reversal of 3425944273920 is 293724495243.

3425944273920 is a `hidden beast` number, since 3 + 4 + 2 + 594 + 4 + 27 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16236702615 + ... + 16236702825.

Almost surely, 2^{3425944273920} is an apocalyptic number.

3425944273920 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 3425944273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757984843136).

3425944273920 is an abundant number, since it is smaller than the sum of its proper divisors (12090025412352).

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

3425944273920 is a wasteful number, since it uses less digits than its factorization.

3425944273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3425944273920 in words is "three trillion, four hundred twenty-five billion, nine hundred forty-four million, two hundred seventy-three thousand, nine hundred twenty".