3484769400 has 288 divisors, whose sum is σ = 13453558560. Its totient is φ = 791838720.

The previous prime is 3484769357. The next prime is 3484769419. The reversal of 3484769400 is 49674843.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2431084 + ... + 2432516.

It is an arithmetic number, because the mean of its divisors is an integer number (46713745).

Almost surely, 2^3484769400 is an apocalyptic number.

3484769400 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 3484769400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726779280).

3484769400 is an abundant number, since it is smaller than the sum of its proper divisors (9968789160).

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

3484769400 is a wasteful number, since it uses less digits than its factorization.

3484769400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3484769400 is about 59031.9354248190. The cubic root of 3484769400 is about 1516.0889468678.

The spelling of 3484769400 in words is "three billion, four hundred eighty-four million, seven hundred sixty-nine thousand, four hundred".