3469580400 has 240 divisors, whose sum is σ = 13057914240. Its totient is φ = 776371200.

The previous prime is 3469580369. The next prime is 3469580459. The reversal of 3469580400 is 40859643.

3469580400 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161491 + ... + 181709.

It is an arithmetic number, because the mean of its divisors is an integer number (54407976).

Almost surely, 2^3469580400 is an apocalyptic number.

3469580400 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 3469580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528957120).

3469580400 is an abundant number, since it is smaller than the sum of its proper divisors (9588333840).

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

3469580400 is a wasteful number, since it uses less digits than its factorization.

3469580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20264 (or 20253 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3469580400 is about 58903.1442284705. The cubic root of 3469580400 is about 1513.8830224888.

The spelling of 3469580400 in words is "three billion, four hundred sixty-nine million, five hundred eighty thousand, four hundred".