3436513516640 has 48 divisors (see below), whose sum is σ = 8596337494752. Its totient is φ = 1293746264064.

The previous prime is 3436513516637. The next prime is 3436513516673. The reversal of 3436513516640 is 466153156343.

It is a happy number.

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, 631709324 + ... + 631714763.

It is an arithmetic number, because the mean of its divisors is an integer number (179090364474).

Almost surely, 2^{3436513516640} is an apocalyptic number.

It is an amenable number.

3436513516640 is an abundant number, since it is smaller than the sum of its proper divisors (5159823978112).

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

3436513516640 is a wasteful number, since it uses less digits than its factorization.

3436513516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263424119 (or 1263424111 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 47.

The spelling of 3436513516640 in words is "three trillion, four hundred thirty-six billion, five hundred thirteen million, five hundred sixteen thousand, six hundred forty".