3827154496 has 189 divisors, whose sum is σ = 9054707697. Its totient is φ = 1603514880.

The previous prime is 3827154479. The next prime is 3827154509. The reversal of 3827154496 is 6944517283.

It is a happy number.

The square root of 3827154496 is 61864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3424590400 + 402564096 = 58520^2 + 20064^2 .

It is a super-2 number, since 2×3827154496² = 29294223072506028032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103436590 + ... + 103436626.

Almost surely, 2^3827154496 is an apocalyptic number.

3827154496 is the 61864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827154496

3827154496 is an abundant number, since it is smaller than the sum of its proper divisors (5227553201).

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

3827154496 is a wasteful number, since it uses less digits than its factorization.

3827154496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 69 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The cubic root of 3827154496 is about 1564.1989791383.

Multiplying 3827154496 by its sum of digits (49), we get a square (187530570304 = 433048²).

The spelling of 3827154496 in words is "three billion, eight hundred twenty-seven million, one hundred fifty-four thousand, four hundred ninety-six".