3478758000 has 320 divisors, whose sum is σ = 11810672640. Its totient is φ = 879744000.

The previous prime is 3478757993. The next prime is 3478758011. The reversal of 3478758000 is 8578743.

3478758000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10973842 + ... + 10974158.

It is an arithmetic number, because the mean of its divisors is an integer number (36908352).

Almost surely, 2^3478758000 is an apocalyptic number.

3478758000 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 3478758000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905336320).

3478758000 is an abundant number, since it is smaller than the sum of its proper divisors (8331914640).

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

3478758000 is a wasteful number, since it uses less digits than its factorization.

3478758000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 3478758000 is about 58980.9969396924. The cubic root of 3478758000 is about 1515.2166688993.

The spelling of 3478758000 in words is "three billion, four hundred seventy-eight million, seven hundred fifty-eight thousand".