3403850012640 has 864 divisors, whose sum is σ = 14755965981120. Its totient is φ = 699324088320.

The previous prime is 3403850012557. The next prime is 3403850012663. The reversal of 3403850012640 is 462100583043.

3403850012640 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 8 + 5 + 0 + 0 + 1 + 2 + 640 = 666.

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 = 3403850012595 and 3403850012604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108535842 + ... + 108567198.

It is an arithmetic number, because the mean of its divisors is an integer number (17078664330).

Almost surely, 2^{3403850012640} is an apocalyptic number.

3403850012640 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 3403850012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377982990560).

3403850012640 is an abundant number, since it is smaller than the sum of its proper divisors (11352115968480).

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

3403850012640 is a wasteful number, since it uses less digits than its factorization.

3403850012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31496 (or 31474 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 3403850012640 its reverse (462100583043), we get a palindrome (3865950595683).

The spelling of 3403850012640 in words is "three trillion, four hundred three billion, eight hundred fifty million, twelve thousand, six hundred forty".