3260654400 has 336 divisors, whose sum is σ = 11701393920. Its totient is φ = 791347200.

The previous prime is 3260654387. The next prime is 3260654413. The reversal of 3260654400 is 44560623.

It is an interprime number because it is at equal distance from previous prime (3260654387) and next prime (3260654413).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2528956 + ... + 2530244.

Almost surely, 2^3260654400 is an apocalyptic number.

3260654400 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 3260654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850696960).

3260654400 is an abundant number, since it is smaller than the sum of its proper divisors (8440739520).

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

3260654400 is a wasteful number, since it uses less digits than its factorization.

3260654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3260654400 is about 57102.1400649748. The cubic root of 3260654400 is about 1482.8649157096.

The spelling of 3260654400 in words is "three billion, two hundred sixty million, six hundred fifty-four thousand, four hundred".