3540773376 has 240 divisors, whose sum is σ = 12058894848. Its totient is φ = 978739200.

The previous prime is 3540773371. The next prime is 3540773399. The reversal of 3540773376 is 6733770453.

3540773376 is a `hidden beast` number, since 3 + 540 + 7 + 7 + 33 + 76 = 666.

It is a super-2 number, since 2×3540773376² = 25074152200380874752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3540773371) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 998166 + ... + 1001706.

Almost surely, 2^3540773376 is an apocalyptic number.

3540773376 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 3540773376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029447424).

3540773376 is an abundant number, since it is smaller than the sum of its proper divisors (8518121472).

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

3540773376 is a wasteful number, since it uses less digits than its factorization.

3540773376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 45.

The square root of 3540773376 is about 59504.3979551092. The cubic root of 3540773376 is about 1524.1675472478.

The spelling of 3540773376 in words is "three billion, five hundred forty million, seven hundred seventy-three thousand, three hundred seventy-six".