3455676000 has 576 divisors, whose sum is σ = 14654727360. Its totient is φ = 788659200.

The previous prime is 3455675983. The next prime is 3455676017. The reversal of 3455676000 is 6765543.

3455676000 is a `hidden beast` number, since 3 + 45 + 5 + 6 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3455675983) and next prime (3455676017).

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 95 ways as a sum of consecutive naturals, for example, 5291674 + ... + 5292326.

It is an arithmetic number, because the mean of its divisors is an integer number (25442235).

Almost surely, 2^3455676000 is an apocalyptic number.

3455676000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327363680).

3455676000 is an abundant number, since it is smaller than the sum of its proper divisors (11199051360).

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

3455676000 is a wasteful number, since it uses less digits than its factorization.

3455676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3455676000 is about 58784.9980862465. The cubic root of 3455676000 is about 1511.8580113579.

The spelling of 3455676000 in words is "three billion, four hundred fifty-five million, six hundred seventy-six thousand".