3445461600 has 288 divisors, whose sum is σ = 13012667136. Its totient is φ = 775526400.

The previous prime is 3445461589. The next prime is 3445461629. The reversal of 3445461600 is 61645443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124070 + ... + 1127130.

It is an arithmetic number, because the mean of its divisors is an integer number (45182872).

Almost surely, 2^3445461600 is an apocalyptic number.

3445461600 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 3445461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506333568).

3445461600 is an abundant number, since it is smaller than the sum of its proper divisors (9567205536).

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

3445461600 is a wasteful number, since it uses less digits than its factorization.

3445461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3445461600 is about 58698.0544822399. The cubic root of 3445461600 is about 1510.3669415090.

The spelling of 3445461600 in words is "three billion, four hundred forty-five million, four hundred sixty-one thousand, six hundred".