3437206126640 has 320 divisors, whose sum is σ = 9571862361600. Its totient is φ = 1131328512000.

The previous prime is 3437206126637. The next prime is 3437206126657. The reversal of 3437206126640 is 466216027343.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3437206126591 and 3437206126600.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276052415 + ... + 276064865.

It is an arithmetic number, because the mean of its divisors is an integer number (29912069880).

Almost surely, 2^{3437206126640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3437206126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785931180800).

3437206126640 is an abundant number, since it is smaller than the sum of its proper divisors (6134656234960).

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

3437206126640 is a wasteful number, since it uses less digits than its factorization.

3437206126640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12956 (or 12950 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 44.

The spelling of 3437206126640 in words is "three trillion, four hundred thirty-seven billion, two hundred six million, one hundred twenty-six thousand, six hundred forty".