3407289200640 has 1872 divisors, whose sum is σ = 13980554756640. Its totient is φ = 786707251200.

The previous prime is 3407289200587. The next prime is 3407289200717. The reversal of 3407289200640 is 460029827043.

3407289200640 is a `hidden beast` number, since 340 + 7 + 289 + 20 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33735536590 + ... + 33735536690.

Almost surely, 2^{3407289200640} is an apocalyptic number.

3407289200640 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 3407289200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990277378320).

3407289200640 is an abundant number, since it is smaller than the sum of its proper divisors (10573265556000).

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

3407289200640 is a wasteful number, since it uses less digits than its factorization.

3407289200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3407289200640 in words is "three trillion, four hundred seven billion, two hundred eighty-nine million, two hundred thousand, six hundred forty".