3834694656 has 352 divisors, whose sum is σ = 12545326080. Its totient is φ = 1149714432.

The previous prime is 3834694649. The next prime is 3834694691. The reversal of 3834694656 is 6564964383.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16892815 + ... + 16893041.

Almost surely, 2^3834694656 is an apocalyptic number.

3834694656 is a gapful number since it is divisible by the number (36) 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 3834694656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272663040).

3834694656 is an abundant number, since it is smaller than the sum of its proper divisors (8710631424).

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

3834694656 is a wasteful number, since it uses less digits than its factorization.

3834694656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 3834694656 is about 61924.9114331220. The cubic root of 3834694656 is about 1565.2255532714.

The spelling of 3834694656 in words is "three billion, eight hundred thirty-four million, six hundred ninety-four thousand, six hundred fifty-six".