3834649350 has 504 divisors, whose sum is σ = 13210304040. Its totient is φ = 823011840.

The previous prime is 3834649333. The next prime is 3834649361. The reversal of 3834649350 is 539464383.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3834649296 and 3834649305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 33934894 + ... + 33935006.

Almost surely, 2^3834649350 is an apocalyptic number.

3834649350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3834649350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605152020).

3834649350 is an abundant number, since it is smaller than the sum of its proper divisors (9375654690).

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

3834649350 is a wasteful number, since it uses less digits than its factorization.

3834649350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3834649350 is about 61924.5456180342. The cubic root of 3834649350 is about 1565.2193889920.

The spelling of 3834649350 in words is "three billion, eight hundred thirty-four million, six hundred forty-nine thousand, three hundred fifty".