3445154400 has 216 divisors, whose sum is σ = 11429971560. Its totient is φ = 901232640.

The previous prime is 3445154399. The next prime is 3445154417. The reversal of 3445154400 is 44515443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27127137 + ... + 27127263.

It is an arithmetic number, because the mean of its divisors is an integer number (52916535).

Almost surely, 2^3445154400 is an apocalyptic number.

3445154400 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 3445154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714985780).

3445154400 is an abundant number, since it is smaller than the sum of its proper divisors (7984817160).

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

3445154400 is a wasteful number, since it uses less digits than its factorization.

3445154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 3445154400 is about 58695.4376421200. The cubic root of 3445154400 is about 1510.3220516830.

Adding to 3445154400 its reverse (44515443), we get a palindrome (3489669843).

The spelling of 3445154400 in words is "three billion, four hundred forty-five million, one hundred fifty-four thousand, four hundred".