3438737280 has 512 divisors, whose sum is σ = 13512960000. Its totient is φ = 819486720.

The previous prime is 3438737273. The next prime is 3438737299. The reversal of 3438737280 is 827378343.

3438737280 is a `hidden beast` number, since 3 + 438 + 73 + 72 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15016206 + ... + 15016434.

It is an arithmetic number, because the mean of its divisors is an integer number (26392500).

Almost surely, 2^3438737280 is an apocalyptic number.

3438737280 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 3438737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756480000).

3438737280 is an abundant number, since it is smaller than the sum of its proper divisors (10074222720).

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

3438737280 is a wasteful number, since it uses less digits than its factorization.

3438737280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3438737280 is about 58640.7476077855. The cubic root of 3438737280 is about 1509.3837346048.

It can be divided in two parts, 343873 and 7280, that added together give a palindrome (351153).

The spelling of 3438737280 in words is "three billion, four hundred thirty-eight million, seven hundred thirty-seven thousand, two hundred eighty".