3461473152 has 96 divisors (see below), whose sum is σ = 9976505760. Its totient is φ = 1152000000.

The previous prime is 3461473133. The next prime is 3461473157. The reversal of 3461473152 is 2513741643.

3461473152 is a `hidden beast` number, since 3 + 4 + 614 + 7 + 31 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3461473157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863152 + ... + 867152.

It is an arithmetic number, because the mean of its divisors is an integer number (103921935).

Almost surely, 2^3461473152 is an apocalyptic number.

3461473152 is a gapful number since it is divisible by the number (32) 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 3461473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988252880).

3461473152 is an abundant number, since it is smaller than the sum of its proper divisors (6515032608).

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

3461473152 is a wasteful number, since it uses less digits than its factorization.

3461473152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4757 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3461473152 is about 58834.2855144855. The cubic root of 3461473152 is about 1512.7029569143.

The spelling of 3461473152 in words is "three billion, four hundred sixty-one million, four hundred seventy-three thousand, one hundred fifty-two".