3437406677344 has 48 divisors (see below), whose sum is σ = 7001123295600. Its totient is φ = 1659349891584.

The previous prime is 3437406677273. The next prime is 3437406677381. The reversal of 3437406677344 is 4437766047343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19574122 + ... + 19748950.

It is an arithmetic number, because the mean of its divisors is an integer number (145856735325).

Almost surely, 2^{3437406677344} is an apocalyptic number.

It is an amenable number.

3437406677344 is an abundant number, since it is smaller than the sum of its proper divisors (3563716618256).

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

3437406677344 is a wasteful number, since it uses less digits than its factorization.

3437406677344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196055 (or 196047 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 58.

The spelling of 3437406677344 in words is "three trillion, four hundred thirty-seven billion, four hundred six million, six hundred seventy-seven thousand, three hundred forty-four".