3214525440 has 264 divisors, whose sum is σ = 11962864512. Its totient is φ = 734576640.

The previous prime is 3214525421. The next prime is 3214525451. The reversal of 3214525440 is 445254123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3214525398 and 3214525407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750505 + ... + 754775.

Almost surely, 2^3214525440 is an apocalyptic number.

3214525440 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 3214525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981432256).

3214525440 is an abundant number, since it is smaller than the sum of its proper divisors (8748339072).

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

3214525440 is a wasteful number, since it uses less digits than its factorization.

3214525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 3214525440 is about 56696.7850940421. The cubic root of 3214525440 is about 1475.8389083963.

Adding to 3214525440 its reverse (445254123), we get a palindrome (3659779563).

The spelling of 3214525440 in words is "three billion, two hundred fourteen million, five hundred twenty-five thousand, four hundred forty".