3435035472 has 160 divisors (see below), whose sum is σ = 10853055360. Its totient is φ = 1031546880.

The previous prime is 3435035449. The next prime is 3435035531. The reversal of 3435035472 is 2745305343.

3435035472 is a `hidden beast` number, since 34 + 3 + 503 + 54 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 533778 + ... + 540174.

It is an arithmetic number, because the mean of its divisors is an integer number (67831596).

Almost surely, 2^3435035472 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 3435035472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426527680).

3435035472 is an abundant number, since it is smaller than the sum of its proper divisors (7418019888).

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

3435035472 is a wasteful number, since it uses less digits than its factorization.

3435035472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The square root of 3435035472 is about 58609.1756638839. The cubic root of 3435035472 is about 1508.8419218699.

The spelling of 3435035472 in words is "three billion, four hundred thirty-five million, thirty-five thousand, four hundred seventy-two".