3455299680 has 384 divisors, whose sum is σ = 13121740800. Its totient is φ = 763176960.

The previous prime is 3455299633. The next prime is 3455299699. The reversal of 3455299680 is 869925543.

3455299680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5103502 + ... + 5104178.

It is an arithmetic number, because the mean of its divisors is an integer number (34171200).

Almost surely, 2^3455299680 is an apocalyptic number.

3455299680 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 3455299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560870400).

3455299680 is an abundant number, since it is smaller than the sum of its proper divisors (9666441120).

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

3455299680 is a wasteful number, since it uses less digits than its factorization.

3455299680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The square root of 3455299680 is about 58781.7971824612. The cubic root of 3455299680 is about 1511.8031293743.

The spelling of 3455299680 in words is "three billion, four hundred fifty-five million, two hundred ninety-nine thousand, six hundred eighty".