3450470400000 has 1260 divisors, whose sum is σ = 13876353239364. Its totient is φ = 849346560000.

The previous prime is 3450470399989. The next prime is 3450470400043. The reversal of 3450470400000 is 40740543.

It can be written as a sum of positive squares in 6 ways, for example, as 3262849744896 + 187620655104 = 1806336^2 + 433152^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 265420799994 + ... + 265420800006.

Almost surely, 2^{3450470400000} is an apocalyptic number.

3450470400000 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 3450470400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938176619682).

3450470400000 is an abundant number, since it is smaller than the sum of its proper divisors (10425882839364).

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

3450470400000 is an frugal number, since it uses more digits than its factorization.

3450470400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 23 counting only the distinct ones).

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

The spelling of 3450470400000 in words is "three trillion, four hundred fifty billion, four hundred seventy million, four hundred thousand".