3454995600 has 480 divisors, whose sum is σ = 14672394240. Its totient is φ = 754997760.

The previous prime is 3454995589. The next prime is 3454995637. The reversal of 3454995600 is 65994543.

3454995600 is a `hidden beast` number, since 3 + 45 + 49 + 9 + 560 + 0 = 666.

3454995600 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 (45).

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, 1737807 + ... + 1739793.

It is an arithmetic number, because the mean of its divisors is an integer number (30567488).

Almost surely, 2^3454995600 is an apocalyptic number.

3454995600 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 3454995600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336197120).

3454995600 is an abundant number, since it is smaller than the sum of its proper divisors (11217398640).

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

3454995600 is a wasteful number, since it uses less digits than its factorization.

3454995600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3454995600 is about 58779.2106105552. The cubic root of 3454995600 is about 1511.7587798606.

The spelling of 3454995600 in words is "three billion, four hundred fifty-four million, nine hundred ninety-five thousand, six hundred".