329379540 has 96 divisors (see below), whose sum is σ = 1056405504. Its totient is φ = 75116160.

The previous prime is 329379517. The next prime is 329379541. The reversal of 329379540 is 45973923.

It is a super-2 number, since 2×329379540² = 216981762741223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 329379492 and 329379501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329379541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340137 + ... + 341103.

It is an arithmetic number, because the mean of its divisors is an integer number (11004224).

Almost surely, 2^329379540 is an apocalyptic number.

329379540 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 329379540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528202752).

329379540 is an abundant number, since it is smaller than the sum of its proper divisors (727025964).

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

329379540 is a wasteful number, since it uses less digits than its factorization.

329379540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 329379540 is about 18148.8164903390. The cubic root of 329379540 is about 690.6089562143.

The spelling of 329379540 in words is "three hundred twenty-nine million, three hundred seventy-nine thousand, five hundred forty".