3435424052736 has 320 divisors, whose sum is σ = 10533618805248. Its totient is φ = 985565626368.

The previous prime is 3435424052729. The next prime is 3435424052869. The reversal of 3435424052736 is 6372504245343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36274501 + ... + 36369083.

Almost surely, 2^{3435424052736} 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 3435424052736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266809402624).

3435424052736 is an abundant number, since it is smaller than the sum of its proper divisors (7098194752512).

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

3435424052736 is a wasteful number, since it uses less digits than its factorization.

3435424052736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94741 (or 94725 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 48.

The spelling of 3435424052736 in words is "three trillion, four hundred thirty-five billion, four hundred twenty-four million, fifty-two thousand, seven hundred thirty-six".