3455917920 has 768 divisors, whose sum is σ = 15240960000. Its totient is φ = 711991296.

The previous prime is 3455917891. The next prime is 3455917937. The reversal of 3455917920 is 297195543.

It is a happy number.

3455917920 is a `hidden beast` number, since 3 + 4 + 559 + 1 + 7 + 92 + 0 = 666.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23194006 + ... + 23194154.

It is an arithmetic number, because the mean of its divisors is an integer number (19845000).

Almost surely, 2^3455917920 is an apocalyptic number.

3455917920 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 3455917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480000).

3455917920 is an abundant number, since it is smaller than the sum of its proper divisors (11785042080).

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

3455917920 is a wasteful number, since it uses less digits than its factorization.

3455917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 3455917920 is about 58787.0557180745. The cubic root of 3455917920 is about 1511.8932905291.

The spelling of 3455917920 in words is "three billion, four hundred fifty-five million, nine hundred seventeen thousand, nine hundred twenty".