3414008400 has 120 divisors (see below), whose sum is σ = 11930453664. Its totient is φ = 827635200.

The previous prime is 3414008371. The next prime is 3414008401. The reversal of 3414008400 is 48004143.

3414008400 is digitally balanced in base 2 and base 4, because in such bases 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414008401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116119 + ... + 142518.

Almost surely, 2^3414008400 is an apocalyptic number.

3414008400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414008400 is an abundant number, since it is smaller than the sum of its proper divisors (8516445264).

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

3414008400 is a wasteful number, since it uses less digits than its factorization.

3414008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258669 (or 258658 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3414008400 is about 58429.5165134883. The cubic root of 3414008400 is about 1505.7568993629.

The spelling of 3414008400 in words is "three billion, four hundred fourteen million, eight thousand, four hundred".