3457778688 has 792 divisors, whose sum is σ = 13590769920. Its totient is φ = 836075520.

The previous prime is 3457778677. The next prime is 3457778741. The reversal of 3457778688 is 8868777543.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111541233 + ... + 111541263.

Almost surely, 2^3457778688 is an apocalyptic number.

3457778688 is a gapful number since it is divisible by the number (38) 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 3457778688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795384960).

3457778688 is an abundant number, since it is smaller than the sum of its proper divisors (10132991232).

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

3457778688 is a wasteful number, since it uses less digits than its factorization.

3457778688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The square root of 3457778688 is about 58802.8799294728. The cubic root of 3457778688 is about 1512.1645911360.

The spelling of 3457778688 in words is "three billion, four hundred fifty-seven million, seven hundred seventy-eight thousand, six hundred eighty-eight".