3526814016 has 336 divisors, whose sum is σ = 11811121920. Its totient is φ = 994344960.

The previous prime is 3526814009. The next prime is 3526814017. The reversal of 3526814016 is 6104186253.

It is a happy number.

3526814016 is a `hidden beast` number, since 3 + 526 + 81 + 40 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3526814017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14756425 + ... + 14756663.

Almost surely, 2^3526814016 is an apocalyptic number.

3526814016 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 3526814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905560960).

3526814016 is an abundant number, since it is smaller than the sum of its proper divisors (8284307904).

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

3526814016 is a wasteful number, since it uses less digits than its factorization.

3526814016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3526814016 is about 59386.9852408758. The cubic root of 3526814016 is about 1522.1619189953.

It can be divided in two parts, 35268 and 14016, that added together give a square (49284 = 222²).

The spelling of 3526814016 in words is "three billion, five hundred twenty-six million, eight hundred fourteen thousand, sixteen".