3455140800 has 84 divisors (see below), whose sum is σ = 11335756856. Its totient is φ = 921369600.

The previous prime is 3455140783. The next prime is 3455140813. The reversal of 3455140800 is 80415543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355111 + ... + 364710.

Almost surely, 2^3455140800 is an apocalyptic number.

3455140800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3455140800 is an abundant number, since it is smaller than the sum of its proper divisors (7880616056).

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

3455140800 is a wasteful number, since it uses less digits than its factorization.

3455140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719846 (or 719831 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 3455140800 is about 58780.4457281501. The cubic root of 3455140800 is about 1511.7799573406.

The spelling of 3455140800 in words is "three billion, four hundred fifty-five million, one hundred forty thousand, eight hundred".