3377150820 has 336 divisors, whose sum is σ = 11414067840. Its totient is φ = 836448768.

The previous prime is 3377150809. The next prime is 3377150851. The reversal of 3377150820 is 280517733.

3377150820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3377150820² = 22810295322053344800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20222377 + ... + 20222543.

It is an arithmetic number, because the mean of its divisors is an integer number (33970440).

Almost surely, 2^3377150820 is an apocalyptic number.

3377150820 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 3377150820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707033920).

3377150820 is an abundant number, since it is smaller than the sum of its proper divisors (8036917020).

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

3377150820 is a wasteful number, since it uses less digits than its factorization.

3377150820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3377150820 is about 58113.2585560301. The cubic root of 3377150820 is about 1500.3185723363.

The spelling of 3377150820 in words is "three billion, three hundred seventy-seven million, one hundred fifty thousand, eight hundred twenty".