3454466400 has 1152 divisors, whose sum is σ = 16318955520. Its totient is φ = 684288000.

The previous prime is 3454466377. The next prime is 3454466401. The reversal of 3454466400 is 46644543.

3454466400 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 4 + 6 + 640 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454466401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51559167 + ... + 51559233.

It is an arithmetic number, because the mean of its divisors is an integer number (14165760).

Almost surely, 2^3454466400 is an apocalyptic number.

3454466400 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 3454466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8159477760).

3454466400 is an abundant number, since it is smaller than the sum of its proper divisors (12864489120).

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

3454466400 is a wasteful number, since it uses less digits than its factorization.

3454466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3454466400 is about 58774.7088465779. The cubic root of 3454466400 is about 1511.6815907998.

The spelling of 3454466400 in words is "three billion, four hundred fifty-four million, four hundred sixty-six thousand, four hundred".