3482404380 has 192 divisors, whose sum is σ = 13334522880. Its totient is φ = 734738688.

The previous prime is 3482404319. The next prime is 3482404381. The reversal of 3482404380 is 834042843.

3482404380 is a `hidden beast` number, since 34 + 8 + 240 + 4 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482404381) 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, 13707 + ... + 84573.

It is an arithmetic number, because the mean of its divisors is an integer number (69450640).

Almost surely, 2^3482404380 is an apocalyptic number.

3482404380 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 3482404380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667261440).

3482404380 is an abundant number, since it is smaller than the sum of its proper divisors (9852118500).

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

3482404380 is a wasteful number, since it uses less digits than its factorization.

3482404380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70905 (or 70897 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3482404380 is about 59011.9003252734. The cubic root of 3482404380 is about 1515.7458928785.

The spelling of 3482404380 in words is "three billion, four hundred eighty-two million, four hundred four thousand, three hundred eighty".