3423757740480 has 1120 divisors, whose sum is σ = 15674186575872. Its totient is φ = 688468377600.

The previous prime is 3423757740457. The next prime is 3423757740509. The reversal of 3423757740480 is 840477573243.

3423757740480 is a `hidden beast` number, since 3 + 4 + 23 + 7 + 577 + 4 + 0 + 48 + 0 = 666.

3423757740480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 61843372 + ... + 61898708.

Almost surely, 2^{3423757740480} is an apocalyptic number.

3423757740480 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 3423757740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837093287936).

3423757740480 is an abundant number, since it is smaller than the sum of its proper divisors (12250428835392).

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

3423757740480 is a wasteful number, since it uses less digits than its factorization.

3423757740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55415 (or 55396 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 54.

The spelling of 3423757740480 in words is "three trillion, four hundred twenty-three billion, seven hundred fifty-seven million, seven hundred forty thousand, four hundred eighty".