3835428480 has 768 divisors, whose sum is σ = 15878903040. Its totient is φ = 843448320.

The previous prime is 3835428479. The next prime is 3835428491. The reversal of 3835428480 is 848245383.

It is a super-2 number, since 2×3835428480² = 29421023250390220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29278015 + ... + 29278145.

It is an arithmetic number, because the mean of its divisors is an integer number (20675655).

Almost surely, 2^3835428480 is an apocalyptic number.

3835428480 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 3835428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939451520).

3835428480 is an abundant number, since it is smaller than the sum of its proper divisors (12043474560).

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

3835428480 is a wasteful number, since it uses less digits than its factorization.

3835428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 3835428480 is about 61930.8362611066. The cubic root of 3835428480 is about 1565.3253897139.

The spelling of 3835428480 in words is "three billion, eight hundred thirty-five million, four hundred twenty-eight thousand, four hundred eighty".