3454064640 has 576 divisors, whose sum is σ = 13662885600. Its totient is φ = 822804480.

The previous prime is 3454064611. The next prime is 3454064657. The reversal of 3454064640 is 464604543.

3454064640 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 0 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 3454064595 and 3454064604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111421425 + ... + 111421455.

Almost surely, 2^3454064640 is an apocalyptic number.

3454064640 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 3454064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831442800).

3454064640 is an abundant number, since it is smaller than the sum of its proper divisors (10208820960).

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

3454064640 is a wasteful number, since it uses less digits than its factorization.

3454064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3454064640 is about 58771.2909505993. The cubic root of 3454064640 is about 1511.6229848608.

The spelling of 3454064640 in words is "three billion, four hundred fifty-four million, sixty-four thousand, six hundred forty".