3454340045400 has 120 divisors (see below), whose sum is σ = 11997434788020. Its totient is φ = 921157341120.

The previous prime is 3454340045347. The next prime is 3454340045413. The reversal of 3454340045400 is 45400434543.

3454340045400 is a `hidden beast` number, since 34 + 5 + 43 + 40 + 0 + 4 + 540 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3454340045400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 106599234 + ... + 106631633.

Almost surely, 2^{3454340045400} is an apocalyptic number.

3454340045400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3454340045400 is an abundant number, since it is smaller than the sum of its proper divisors (8543094742620).

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

3454340045400 is a wasteful number, since it uses less digits than its factorization.

3454340045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213230895 (or 213230877 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 3454340045400 its reverse (45400434543), we get a palindrome (3499740479943).

The spelling of 3454340045400 in words is "three trillion, four hundred fifty-four billion, three hundred forty million, forty-five thousand, four hundred".