3436214400 has 384 divisors, whose sum is σ = 12756772800. Its totient is φ = 914457600.

The previous prime is 3436214399. The next prime is 3436214407. The reversal of 3436214400 is 44126343.

3436214400 is a `hidden beast` number, since 3 + 43 + 6 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (3436214407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6998155 + ... + 6998645.

Almost surely, 2^3436214400 is an apocalyptic number.

3436214400 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 3436214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378386400).

3436214400 is an abundant number, since it is smaller than the sum of its proper divisors (9320558400).

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

3436214400 is an frugal number, since it uses more digits than its factorization.

3436214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3436214400 is about 58619.2323388835. The cubic root of 3436214400 is about 1509.0145171305.

The spelling of 3436214400 in words is "three billion, four hundred thirty-six million, two hundred fourteen thousand, four hundred".