3455361504 has 240 divisors, whose sum is σ = 11697463008. Its totient is φ = 980149248.

The previous prime is 3455361479. The next prime is 3455361521. The reversal of 3455361504 is 4051635543.

3455361504 is a `hidden beast` number, since 3 + 45 + 53 + 61 + 504 = 666.

3455361504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 39 ways as a sum of consecutive naturals, for example, 2848002 + ... + 2849214.

Almost surely, 2^3455361504 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 3455361504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848731504).

3455361504 is an abundant number, since it is smaller than the sum of its proper divisors (8242101504).

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

3455361504 is a wasteful number, since it uses less digits than its factorization.

3455361504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3455361504 is about 58782.3230571913. The cubic root of 3455361504 is about 1511.8121459738.

The spelling of 3455361504 in words is "three billion, four hundred fifty-five million, three hundred sixty-one thousand, five hundred four".