3455712540 has 72 divisors (see below), whose sum is σ = 11979807840. Its totient is φ = 789876864.

The previous prime is 3455712527. The next prime is 3455712599. The reversal of 3455712540 is 452175543.

3455712540 is a `hidden beast` number, since 3 + 45 + 5 + 71 + 2 + 540 = 666.

It is a super-2 number, since 2×3455712540² = 23883898318226503200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3455712495 and 3455712504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1370055 + ... + 1372574.

It is an arithmetic number, because the mean of its divisors is an integer number (166386220).

Almost surely, 2^3455712540 is an apocalyptic number.

3455712540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3455712540 is an abundant number, since it is smaller than the sum of its proper divisors (8524095300).

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

3455712540 is a wasteful number, since it uses less digits than its factorization.

3455712540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742651 (or 2742646 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 3455712540 is about 58785.3088790048. The cubic root of 3455712540 is about 1511.8633400883.

The spelling of 3455712540 in words is "three billion, four hundred fifty-five million, seven hundred twelve thousand, five hundred forty".