3400248456 has 112 divisors (see below), whose sum is σ = 10428006960. Its totient is φ = 1030358880.

The previous prime is 3400248431. The next prime is 3400248457. The reversal of 3400248456 is 6548420043.

3400248456 is a `hidden beast` number, since 3 + 400 + 248 + 4 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3400248456.

It is not an unprimeable number, because it can be changed into a prime (3400248457) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 37651 + ... + 90653.

It is an arithmetic number, because the mean of its divisors is an integer number (93107205).

Almost surely, 2^3400248456 is an apocalyptic number.

3400248456 is a gapful number since it is divisible by the number (36) 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 3400248456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214003480).

3400248456 is an abundant number, since it is smaller than the sum of its proper divisors (7027758504).

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

3400248456 is a wasteful number, since it uses less digits than its factorization.

3400248456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53038 (or 53019 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3400248456 is about 58311.6494021563. The cubic root of 3400248456 is about 1503.7312229544.

Adding to 3400248456 its reverse (6548420043), we get a palindrome (9948668499).

The spelling of 3400248456 in words is "three billion, four hundred million, two hundred forty-eight thousand, four hundred fifty-six".