3400496640 has 600 divisors, whose sum is σ = 13142783808. Its totient is φ = 839393280.

The previous prime is 3400496639. The next prime is 3400496641. The reversal of 3400496640 is 466940043.

3400496640 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 4 + 9 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (3400496639) and next prime (3400496641).

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

It is a junction number, because it is equal to n+sod(n) for n = 3400496595 and 3400496604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400496641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 109693425 + ... + 109693455.

Almost surely, 2^3400496640 is an apocalyptic number.

3400496640 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 3400496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571391904).

3400496640 is an abundant number, since it is smaller than the sum of its proper divisors (9742287168).

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

3400496640 is an equidigital number, since it uses as much as digits as its factorization.

3400496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3400496640 is about 58313.7774458146. Note that the first 3 decimals coincide. The cubic root of 3400496640 is about 1503.7678078251.

The spelling of 3400496640 in words is "three billion, four hundred million, four hundred ninety-six thousand, six hundred forty".