3428447400 has 288 divisors, whose sum is σ = 13852238400. Its totient is φ = 742348800.

The previous prime is 3428447369. The next prime is 3428447401. The reversal of 3428447400 is 47448243.

It is a happy number.

3428447400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3428447401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 232240 + ... + 246560.

It is an arithmetic number, because the mean of its divisors is an integer number (48098050).

Almost surely, 2^3428447400 is an apocalyptic number.

3428447400 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 3428447400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926119200).

3428447400 is an abundant number, since it is smaller than the sum of its proper divisors (10423791000).

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

3428447400 is a wasteful number, since it uses less digits than its factorization.

3428447400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14369 (or 14357 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 3428447400 is about 58552.9452717795. The cubic root of 3428447400 is about 1507.8766993399.

The spelling of 3428447400 in words is "three billion, four hundred twenty-eight million, four hundred forty-seven thousand, four hundred".