3466151520 has 192 divisors, whose sum is σ = 12269988864. Its totient is φ = 816076800.

The previous prime is 3466151501. The next prime is 3466151561. The reversal of 3466151520 is 251516643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131445 + ... + 155595.

It is an arithmetic number, because the mean of its divisors is an integer number (63906192).

Almost surely, 2^3466151520 is an apocalyptic number.

3466151520 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 3466151520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134994432).

3466151520 is an abundant number, since it is smaller than the sum of its proper divisors (8803837344).

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

3466151520 is a wasteful number, since it uses less digits than its factorization.

3466151520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24205 (or 24197 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 3466151520 is about 58874.0309474390. The cubic root of 3466151520 is about 1513.3841500442.

The spelling of 3466151520 in words is "three billion, four hundred sixty-six million, one hundred fifty-one thousand, five hundred twenty".