3260006400 has 360 divisors, whose sum is σ = 12351848320. Its totient is φ = 743178240.

The previous prime is 3260006389. The next prime is 3260006401. The reversal of 3260006400 is 46000623.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3260006401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8601411 + ... + 8601789.

Almost surely, 2^3260006400 is an apocalyptic number.

3260006400 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 3260006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175924160).

3260006400 is an abundant number, since it is smaller than the sum of its proper divisors (9091841920).

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

3260006400 is an equidigital number, since it uses as much as digits as its factorization.

3260006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3260006400 is about 57096.4657400088. The cubic root of 3260006400 is about 1482.7666777479.

The spelling of 3260006400 in words is "three billion, two hundred sixty million, six thousand, four hundred".