3833772480 has 336 divisors, whose sum is σ = 14211385344. Its totient is φ = 945838080.

The previous prime is 3833772473. The next prime is 3833772497. The reversal of 3833772480 is 842773383.

3833772480 is a `hidden beast` number, since 38 + 3 + 377 + 248 + 0 = 666.

It is a super-2 number, since 2×3833772480² = 29395622856810700800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2052507 + ... + 2054373.

Almost surely, 2^3833772480 is an apocalyptic number.

3833772480 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 3833772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105692672).

3833772480 is an abundant number, since it is smaller than the sum of its proper divisors (10377612864).

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

3833772480 is a wasteful number, since it uses less digits than its factorization.

3833772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3833772480 is about 61917.4650643904. The cubic root of 3833772480 is about 1565.1000735579.

The spelling of 3833772480 in words is "three billion, eight hundred thirty-three million, seven hundred seventy-two thousand, four hundred eighty".