3474122400 has 1008 divisors, whose sum is σ = 15574253184. Its totient is φ = 739031040.

The previous prime is 3474122381. The next prime is 3474122401. The reversal of 3474122400 is 42214743.

3474122400 is a `hidden beast` number, since 3 + 4 + 7 + 412 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3474122401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 93895182 + ... + 93895218.

It is an arithmetic number, because the mean of its divisors is an integer number (15450648).

Almost surely, 2^3474122400 is an apocalyptic number.

3474122400 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 3474122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787126592).

3474122400 is an abundant number, since it is smaller than the sum of its proper divisors (12100130784).

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

3474122400 is a wasteful number, since it uses less digits than its factorization.

3474122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3474122400 is about 58941.6864366808. The cubic root of 3474122400 is about 1514.5433384936.

The spelling of 3474122400 in words is "three billion, four hundred seventy-four million, one hundred twenty-two thousand, four hundred".