3425620746240 has 2688 divisors, whose sum is σ = 16252103761920. Its totient is φ = 645503385600.

The previous prime is 3425620746203. The next prime is 3425620746253. The reversal of 3425620746240 is 426470265243.

3425620746240 is a `hidden beast` number, since 3 + 4 + 2 + 562 + 0 + 7 + 46 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14959042446 + ... + 14959042674.

Almost surely, 2^{3425620746240} is an apocalyptic number.

3425620746240 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 3425620746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126051880960).

3425620746240 is an abundant number, since it is smaller than the sum of its proper divisors (12826483015680).

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

3425620746240 is a wasteful number, since it uses less digits than its factorization.

3425620746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 3425620746240 in words is "three trillion, four hundred twenty-five billion, six hundred twenty million, seven hundred forty-six thousand, two hundred forty".