3400056000 has 784 divisors, whose sum is σ = 14032126368. Its totient is φ = 808704000.

The previous prime is 3400055969. The next prime is 3400056001. The reversal of 3400056000 is 6500043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3400056001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 64151974 + ... + 64152026.

Almost surely, 2^3400056000 is an apocalyptic number.

3400056000 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 3400056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016063184).

3400056000 is an abundant number, since it is smaller than the sum of its proper divisors (10632070368).

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

3400056000 is an equidigital number, since it uses as much as digits as its factorization.

3400056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3400056000 is about 58309.9991425141. Note that the first 3 decimals coincide. The cubic root of 3400056000 is about 1503.7028517378.

Adding to 3400056000 its reverse (6500043), we get a palindrome (3406556043).

It can be divided in two parts, 34000 and 56000, that added together give a square (90000 = 300²).

The spelling of 3400056000 in words is "three billion, four hundred million, fifty-six thousand".