3450470400 has 540 divisors, whose sum is σ = 13766177502. Its totient is φ = 849346560.

The previous prime is 3450470393. The next prime is 3450470411. The reversal of 3450470400 is 40740543.

It can be written as a sum of positive squares in 3 ways, for example, as 1916338176 + 1534132224 = 43776^2 + 39168^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 265420794 + ... + 265420806.

Almost surely, 2^3450470400 is an apocalyptic number.

3450470400 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 3450470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883088751).

3450470400 is an abundant number, since it is smaller than the sum of its proper divisors (10315707102).

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

3450470400 is an frugal number, since it uses more digits than its factorization.

3450470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3450470400 is about 58740.7047965889. The cubic root of 3450470400 is about 1511.0984799662.

The spelling of 3450470400 in words is "three billion, four hundred fifty million, four hundred seventy thousand, four hundred".