3464789400 has 216 divisors, whose sum is σ = 12029380740. Its totient is φ = 893692800.

The previous prime is 3464789357. The next prime is 3464789401. The reversal of 3464789400 is 49874643.

3464789400 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3464789401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1728799 + ... + 1730801.

Almost surely, 2^3464789400 is an apocalyptic number.

3464789400 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 3464789400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014690370).

3464789400 is an abundant number, since it is smaller than the sum of its proper divisors (8564591340).

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

3464789400 is a wasteful number, since it uses less digits than its factorization.

3464789400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2044 counting only the distinct ones).

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

The square root of 3464789400 is about 58862.4617222216. The cubic root of 3464789400 is about 1513.1858820328.

The spelling of 3464789400 in words is "three billion, four hundred sixty-four million, seven hundred eighty-nine thousand, four hundred".