3461640000 has 560 divisors, whose sum is σ = 14130576768. Its totient is φ = 728064000.

The previous prime is 3461639999. The next prime is 3461640019. The reversal of 3461640000 is 461643.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10919842 + ... + 10920158.

Almost surely, 2^3461640000 is an apocalyptic number.

3461640000 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 3461640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065288384).

3461640000 is an abundant number, since it is smaller than the sum of its proper divisors (10668936768).

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

3461640000 is a wasteful number, since it uses less digits than its factorization.

3461640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3461640000 is about 58835.7034461219. The cubic root of 3461640000 is about 1512.7272613454.

The spelling of 3461640000 in words is "three billion, four hundred sixty-one million, six hundred forty thousand".