3553408320 has 448 divisors, whose sum is σ = 14347155456. Its totient is φ = 723640320.

The previous prime is 3553408307. The next prime is 3553408321. The reversal of 3553408320 is 238043553.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3553408321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3917307 + ... + 3918213.

Almost surely, 2^3553408320 is an apocalyptic number.

3553408320 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 3553408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7173577728).

3553408320 is an abundant number, since it is smaller than the sum of its proper divisors (10793747136).

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

3553408320 is a wasteful number, since it uses less digits than its factorization.

3553408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 3553408320 is about 59610.4715633084. The cubic root of 3553408320 is about 1525.9783484770.

The spelling of 3553408320 in words is "three billion, five hundred fifty-three million, four hundred eight thousand, three hundred twenty".